100991542365 has 432 divisors, whose sum is σ = 230699169792. Its totient is φ = 42220507392.

The previous prime is 100991542343. The next prime is 100991542369. The reversal of 100991542365 is 563245199001.

100991542365 is a `hidden beast` number, since 10 + 0 + 9 + 91 + 542 + 3 + 6 + 5 = 666.

It is not a de Polignac number, because 100991542365 - 2⁹ = 100991541853 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 100991542365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100991542369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 795208932 + ... + 795209058.

It is an arithmetic number, because the mean of its divisors is an integer number (534025856).

Almost surely, 2^100991542365 is an apocalyptic number.

100991542365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100991542365 is an abundant number, since it is smaller than the sum of its proper divisors (129707627427).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100991542365 is a wasteful number, since it uses less digits than its factorization.

100991542365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 100991542365 in words is "one hundred billion, nine hundred ninety-one million, five hundred forty-two thousand, three hundred sixty-five".